%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:27 PM UTC 2026
% Result : Unsatisfiable 0.09s 10.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n010.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 10:51:52 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.09/10.40 % Refutation found
% 0.09/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/10.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/10.40 fof(f1,negated_conjecture,(
% 0.09/10.40 f(a,b) ),
% 0.09/10.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.40 fof(f3,negated_conjecture,(
% 0.09/10.40 (![Y1,Y2]: (( g(b,z(Y1,Y2))| g(Y2,z(Y1,Y2))| ~ f(Y1,Y2)| f(b,Y2) ) ))),
% 0.09/10.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.40 fof(f4,negated_conjecture,(
% 0.09/10.40 (![Y1,Y2]: (( ~ g(b,z(Y1,Y2))| ~ g(Y2,z(Y1,Y2))| ~ f(Y1,Y2)| f(b,Y2) ) ))),
% 0.09/10.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.40 fof(f7,negated_conjecture,(
% 0.09/10.40 (![Y1,Y2]: (( ~ f(a,Y1)| ~ f(b,Y1)| ~ f(Y1,Y2) ) ))),
% 0.09/10.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.40 fof(f8,plain,(
% 0.09/10.40 f(a,b)),
% 0.09/10.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/10.40 fof(f10,plain,(
% 0.09/10.40 ![Y2]: ((![Y1]: ((g(b,z(Y1,Y2))|g(Y2,z(Y1,Y2)))|~f(Y1,Y2)))|f(b,Y2))),
% 0.09/10.40 inference(miniscoping,[status(thm)],[f3])).
% 0.09/10.40 fof(f11,plain,(
% 0.09/10.40 ![X0,X1]: (g(b,z(X0,X1))|g(X1,z(X0,X1))|~f(X0,X1)|f(b,X1))),
% 0.09/10.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/10.40 fof(f12,plain,(
% 0.09/10.40 ![Y2]: ((![Y1]: ((~g(b,z(Y1,Y2))|~g(Y2,z(Y1,Y2)))|~f(Y1,Y2)))|f(b,Y2))),
% 0.09/10.40 inference(miniscoping,[status(thm)],[f4])).
% 0.09/10.40 fof(f13,plain,(
% 0.09/10.40 ![X0,X1]: (~g(b,z(X0,X1))|~g(X1,z(X0,X1))|~f(X0,X1)|f(b,X1))),
% 0.09/10.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/10.40 fof(f16,plain,(
% 0.09/10.40 ![Y1]: ((~f(a,Y1)|~f(b,Y1))|(![Y2]: ~f(Y1,Y2)))),
% 0.09/10.40 inference(miniscoping,[status(thm)],[f7])).
% 0.09/10.40 fof(f17,plain,(
% 0.09/10.40 ![X0,X1]: (~f(a,X0)|~f(b,X0)|~f(X0,X1))),
% 0.09/10.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/10.40 fof(f18,plain,(
% 0.09/10.40 g(b,z(a,b))|g(b,z(a,b))|f(b,b)),
% 0.09/10.40 inference(resolution,[status(thm)],[f11,f8])).
% 0.09/10.40 fof(f19,definition,(
% 0.09/10.40 sQ0_spl <=> (g(b,z(a,b)))),
% 0.09/10.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/10.40 fof(f22,definition,(
% 0.09/10.40 sQ1_spl <=> (f(b,b))),
% 0.09/10.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/10.40 fof(f23,plain,(
% 0.09/10.40 f(b,b)|~sQ1_spl),
% 0.09/10.40 inference(component_clause,[status(thm)],[f22])).
% 0.09/10.40 fof(f25,plain,(
% 0.09/10.40 sQ0_spl|sQ1_spl),
% 0.09/10.40 inference(split_clause,[status(thm)],[f18,f19,f22])).
% 0.09/10.40 fof(f26,plain,(
% 0.09/10.40 ~g(b,z(a,b))|~g(b,z(a,b))|f(b,b)),
% 0.09/10.40 inference(resolution,[status(thm)],[f13,f8])).
% 0.09/10.40 fof(f27,plain,(
% 0.09/10.40 ~sQ0_spl|sQ1_spl),
% 0.09/10.40 inference(split_clause,[status(thm)],[f26,f19,f22])).
% 0.09/10.40 fof(f28,plain,(
% 0.09/10.40 ![X0]: (~f(a,b)|~f(b,X0)|~sQ1_spl)),
% 0.09/10.40 inference(resolution,[status(thm)],[f23,f17])).
% 0.09/10.40 fof(f31,definition,(
% 0.09/10.40 sQ2_spl <=> (f(a,b))),
% 0.09/10.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/10.40 fof(f33,plain,(
% 0.09/10.40 ~f(a,b)|sQ2_spl),
% 0.09/10.40 inference(component_clause,[status(thm)],[f31])).
% 0.09/10.40 fof(f34,definition,(
% 0.09/10.40 ![X0]: (sQ3_spl <=> (~f(b,X0)))),
% 0.09/10.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/10.40 fof(f35,plain,(
% 0.09/10.40 ![X0]: (~f(b,X0)|~sQ3_spl)),
% 0.09/10.40 inference(component_clause,[status(thm)],[f34])).
% 0.09/10.40 fof(f37,plain,(
% 0.09/10.40 ~sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.09/10.40 inference(split_clause,[status(thm)],[f28,f31,f34,f22])).
% 0.09/10.40 fof(f43,plain,(
% 0.09/10.40 $false|sQ2_spl),
% 0.09/10.40 inference(forward_subsumption_resolution,[status(thm)],[f33,f8])).
% 0.09/10.40 fof(f44,plain,(
% 0.09/10.40 sQ2_spl),
% 0.09/10.40 inference(contradiction_clause,[status(thm)],[f43])).
% 0.09/10.40 fof(f47,plain,(
% 0.09/10.40 $false|~sQ3_spl|~sQ1_spl),
% 0.09/10.40 inference(backward_subsumption_resolution,[status(thm)],[f23,f35])).
% 0.09/10.40 fof(f48,plain,(
% 0.09/10.40 ~sQ3_spl|~sQ1_spl),
% 0.09/10.40 inference(contradiction_clause,[status(thm)],[f47])).
% 0.09/10.40 fof(f49,plain,(
% 0.09/10.40 $false),
% 0.09/10.40 inference(sat_refutation,[status(thm)],[f25,f27,f37,f44,f48])).
% 0.09/10.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.41 % Elapsed time: 0.029749 seconds
% 0.13/10.41 % CPU time: 0.064107 seconds
% 0.13/10.41 % Total memory used: 6.736 MB
% 0.13/10.41 % Net memory used: 6.561 MB
%------------------------------------------------------------------------------